one interior angle = 30° <==== this one is given
second interior angle = 180 - 40 = 140° <=== interior angle + exterior angle = 180
third interior angle = 180 - 30 - 140 = 10° <=== angles in a triangle = 180
<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment.
Given that FB : FC = 4 : 3,
From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1).
We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A)
Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1))
Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3.
Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4).
Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3.
Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4).
Therefore, the coordinates of point D is (-6, -4).</span>
Answer:
x=
y=5-
Step-by-step explanation:
x+y=5
y=5-x
x-y=a
x-(5-x)=a
2x-5=a
2x=a+5
x=
x+y=5
+y=5
y=5-
(a)7x4=28
2x2=4
28-4=24
24-1=23 points
(b)20/4=7 correct answers
Answer:
Perimeter: 18.5
Area: 15
Step-by-step explanation:
P = a + b + c
P = 5 + 6 + 7.5
P= 18.5
A = 1/2bh
A = 1/2*7.5*4
A= 15
